{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "235a4470-3fea-412c-b41b-84ad12b5affe",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-21T02:55:57.064234Z",
     "iopub.status.busy": "2022-03-21T02:55:57.063721Z",
     "iopub.status.idle": "2022-03-21T02:55:57.499387Z",
     "shell.execute_reply": "2022-03-21T02:55:57.498488Z",
     "shell.execute_reply.started": "2022-03-21T02:55:57.064195Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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PJHmRwZvMrUNnA0mSFtm8wV9V9zMI8xPVfBt48xzrvwr8/IK7kySNnd/claTGGPyS1BiDX5IaY/BLUmMMfklqTKpq0j38mCQHgb9d4MPPBb4zxnYm6VSZ5VSZA5xlKTpV5oCTm+Wiqur17dclGfwnI8lMVU1Puo9xOFVmOVXmAGdZik6VOWDxZvFQjyQ1xuCXpMacisG/adINjNGpMsupMgc4y1J0qswBizTLKXeMX5J0YqfiHr8k6QSWbfAneSLJru4i7jNzbP/IrIu8f7276PtPT6LXE+kxx3EvZL/U9JjlnCR3JXk0yYNJLp9En30kWZPk80n2JnksyT8Z2p4k/ybJvm6e102q1xPpMcclSb6W5PkkH55Un330mOU3u5/FriRfTfILk+p1Pj1muaGbZUd3BcM3jrWBqlqWN+AJ4NyetW8B7p10zwuZg8E/gf2JbnmKwfWMT5t03wuc5ZPAH3TLlwD/bdI9n6DX24H3dsunAWuGtv8KcDeDf7n2DcC2Sfe8wDl+Bng98K+AD0+635Oc5ReBc7rlX16qP5Oes5zF3x+Kfy2wd5yvv2z3+Ef068B/mnQTC3QqXcj+MuBegKraC6zvLtyzpCQ5G7iawQWIqKofVtWhobIbgP9YAw8Aa5Kcv8itnlCfOarqmap6CHhhAi321nOWr1bV97q7DwBrF7fLfnrOcri61AfOZJADY7Ocg7+AryTZ3l2vd05J/hFwPYNLRy5F881xogvZLzXzzbITeDtAkg3ARSzNv5yvAA4C/z7JI0n+NMmZQzUXAE/Ouv9Ut24p6TPHcjHqLDcz+ES2FPWaJcnbkuwF/gvw2+NsYDkH/xur6nUMPtK9L8nVx6l7C/A/q+rZxWttJPPN8aML2b8cuAL44yQvXeQe+5pvllsZ7BnvAN4PPAIcW+Qe+1gJvA74d1V1JfB3wO9NtqUFOVXmgBFmSfJLDIL/dxevvZH0mqWq7qqqS4C3MrjK4dgs2+Cvv7+I+zPAXcCG45TeyBI+zNNjjuNeyH6pmW+Wqnquqm6qqiuAdzP4ncX+RW90fk8BT1XVtu7+5xn8RZ3tAHDhrPtru3VLSZ85lotesyR5LfCnwA1V9d1F7G8UI/1cquo+4JXddcvHYlkGf5Izk7zkR8sMLvv49Tnqzgb+GfBXi9thPz3nmPNC9ovZZx99ZunOZDitu/te4L6qem5xO51fVf0f4MkkF3errgWGrxW9GXh3d3bPG4DvV9XTi9nnfHrOsSz0mSXJOuBO4F1V9b8WucXees7yqu73enRnjJ0OjO2NrM/F1pei84C7uv8uK4HPVtVfJ/kd+P8XgAd4G/CVqvq7ybQ5rz5zzHkh+0k1fAJ9ZrkUuD1JAbsZfBxfqt4P3NG9Ue0Hbhqa5csMzuzZB/xfBp/MlqITzpHkHwMzwEuBF5N8ELhsKb4hM//P5PeBlwH/tvv/8Ggt3X+8bb5Z/jmDHYsXgCPAO2f9svek+c1dSWrMsjzUI0laOINfkhpj8EtSYwx+SWqMwS9JjTH4JakxBr8kNcbgl6TG/D8vA+FCWXDVJgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "x=6\n",
    "y=3\n",
    "plt.plot(x,y,'o')\n",
    "plt.show()\n",
    "\n",
    "x=[6,10]\n",
    "y=[3,7]\n",
    "plt.plot(x,y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "62aca8b2-c4bb-43a7-92a6-1d313eceaafe",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-21T02:56:08.251334Z",
     "iopub.status.busy": "2022-03-21T02:56:08.250688Z",
     "iopub.status.idle": "2022-03-21T02:56:08.293174Z",
     "shell.execute_reply": "2022-03-21T02:56:08.292024Z",
     "shell.execute_reply.started": "2022-03-21T02:56:08.251293Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>time</th>\n",
       "      <th>china</th>\n",
       "      <th>usa</th>\n",
       "      <th>king</th>\n",
       "      <th>japan</th>\n",
       "      <th>russia</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>241.000000</td>\n",
       "      <td>241.000000</td>\n",
       "      <td>241.000000</td>\n",
       "      <td>241.000000</td>\n",
       "      <td>241.000000</td>\n",
       "      <td>241.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>1920.000000</td>\n",
       "      <td>3906.327801</td>\n",
       "      <td>19019.580913</td>\n",
       "      <td>14975.016598</td>\n",
       "      <td>11803.473029</td>\n",
       "      <td>9165.580913</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>69.714896</td>\n",
       "      <td>7897.060024</td>\n",
       "      <td>20966.605026</td>\n",
       "      <td>14186.285966</td>\n",
       "      <td>15780.652526</td>\n",
       "      <td>10130.108008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>1800.000000</td>\n",
       "      <td>560.000000</td>\n",
       "      <td>1965.000000</td>\n",
       "      <td>3043.000000</td>\n",
       "      <td>1009.000000</td>\n",
       "      <td>1365.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>1860.000000</td>\n",
       "      <td>735.000000</td>\n",
       "      <td>3354.000000</td>\n",
       "      <td>4926.000000</td>\n",
       "      <td>1116.000000</td>\n",
       "      <td>1831.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>1920.000000</td>\n",
       "      <td>785.000000</td>\n",
       "      <td>8134.000000</td>\n",
       "      <td>7973.000000</td>\n",
       "      <td>2620.000000</td>\n",
       "      <td>3415.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>1980.000000</td>\n",
       "      <td>1078.000000</td>\n",
       "      <td>29523.000000</td>\n",
       "      <td>20733.000000</td>\n",
       "      <td>21614.000000</td>\n",
       "      <td>15604.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>2040.000000</td>\n",
       "      <td>34823.000000</td>\n",
       "      <td>79957.000000</td>\n",
       "      <td>56528.000000</td>\n",
       "      <td>55158.000000</td>\n",
       "      <td>39276.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              time         china           usa          king         japan  \\\n",
       "count   241.000000    241.000000    241.000000    241.000000    241.000000   \n",
       "mean   1920.000000   3906.327801  19019.580913  14975.016598  11803.473029   \n",
       "std      69.714896   7897.060024  20966.605026  14186.285966  15780.652526   \n",
       "min    1800.000000    560.000000   1965.000000   3043.000000   1009.000000   \n",
       "25%    1860.000000    735.000000   3354.000000   4926.000000   1116.000000   \n",
       "50%    1920.000000    785.000000   8134.000000   7973.000000   2620.000000   \n",
       "75%    1980.000000   1078.000000  29523.000000  20733.000000  21614.000000   \n",
       "max    2040.000000  34823.000000  79957.000000  56528.000000  55158.000000   \n",
       "\n",
       "             russia  \n",
       "count    241.000000  \n",
       "mean    9165.580913  \n",
       "std    10130.108008  \n",
       "min     1365.000000  \n",
       "25%     1831.000000  \n",
       "50%     3415.000000  \n",
       "75%    15604.000000  \n",
       "max    39276.000000  "
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import  pandas as pd\n",
    "data=pd.read_csv('line_animation.csv')\n",
    "\n",
    "year=data['time']\n",
    "china=data['china']\n",
    "usa=data['usa']\n",
    "japan=data['japan']\n",
    "russia=data['russia']\n",
    "data.describe()"
   ]
  },
  {
   "cell_type": "raw",
   "id": "c5debe64-7304-45f5-9c77-4e8c06f6b25f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-21T01:52:31.938844Z",
     "iopub.status.busy": "2022-03-21T01:52:31.937638Z",
     "iopub.status.idle": "2022-03-21T01:52:31.976307Z",
     "shell.execute_reply": "2022-03-21T01:52:31.975589Z",
     "shell.execute_reply.started": "2022-03-21T01:52:31.938782Z"
    }
   },
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "8a3a6704-1b3e-4743-a2ef-dd8b28eb4a6b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-21T01:52:38.759085Z",
     "iopub.status.busy": "2022-03-21T01:52:38.758493Z",
     "iopub.status.idle": "2022-03-21T01:52:38.766961Z",
     "shell.execute_reply": "2022-03-21T01:52:38.766093Z",
     "shell.execute_reply.started": "2022-03-21T01:52:38.759044Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0        736\n",
       "1        735\n",
       "2        733\n",
       "3        732\n",
       "4        730\n",
       "       ...  \n",
       "236    32128\n",
       "237    32782\n",
       "238    33449\n",
       "239    34129\n",
       "240    34823\n",
       "Name: china, Length: 241, dtype: int64"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "china"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d1781993-ae4f-4689-a9b5-c62b22701bbd",
   "metadata": {},
   "source": [
    "## Matplotlib中对象以及绘图步骤\n",
    "虽然直接使用pyplot中plot方法可以快速绘制图像，但是当遇到更为复杂的图形，或者希望进行细致的操作的时候，就需要按照步骤，一步步设置不同的对象。在此过程中，结合matplotlib的结构，就可以展现精美的可视化结果。\n",
    "![](https://ai-studio-static-online.cdn.bcebos.com/663b9e07d4c840b49b1499357c3f3f78a0511962c68c45598ec99bc8ff2faae7)\n",
    "\n",
    "Matpltlib中主要包含以下重要的对象：\n",
    "\n",
    "1. **figure**\n",
    "\n",
    "整个图形即是一个figure对象。figure对象至少包含一个子图，也就是axes对象。figure对象包含一些特殊的artist对象，如图名（title）、图例（legend）。\n",
    "\n",
    "2. **a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "3f04c28d-5f1e-4220-8cda-775278633963",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-21T01:52:42.950038Z",
     "iopub.status.busy": "2022-03-21T01:52:42.949212Z",
     "iopub.status.idle": "2022-03-21T01:52:42.957113Z",
     "shell.execute_reply": "2022-03-21T01:52:42.956208Z",
     "shell.execute_reply.started": "2022-03-21T01:52:42.949993Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0       1980\n",
       "1       2017\n",
       "2       2050\n",
       "3       2015\n",
       "4       2014\n",
       "       ...  \n",
       "236    73771\n",
       "237    75271\n",
       "238    76801\n",
       "239    78363\n",
       "240    79957\n",
       "Name: usa, Length: 241, dtype: int64"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "usa"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "d5d2451d-9cf1-4eef-82d2-3ab8b86beccc",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-21T02:22:04.609185Z",
     "iopub.status.busy": "2022-03-21T02:22:04.607937Z",
     "iopub.status.idle": "2022-03-21T02:22:04.624399Z",
     "shell.execute_reply": "2022-03-21T02:22:04.623209Z",
     "shell.execute_reply.started": "2022-03-21T02:22:04.609120Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'japan' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m/tmp/ipykernel_143/3475784537.py\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mjapan\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m: name 'japan' is not defined"
     ]
    }
   ],
   "source": [
    "japan"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "c7c785b8-8e0e-466a-a75b-73306baabcbb",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-21T02:56:18.000426Z",
     "iopub.status.busy": "2022-03-21T02:56:17.999937Z",
     "iopub.status.idle": "2022-03-21T02:56:18.320740Z",
     "shell.execute_reply": "2022-03-21T02:56:18.319970Z",
     "shell.execute_reply.started": "2022-03-21T02:56:18.000389Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/conda/envs/python35-paddle120-env/lib/python3.7/site-packages/matplotlib/cbook/__init__.py:2064: FutureWarning: Support for multi-dimensional indexing (e.g. `obj[:, None]`) is deprecated and will be removed in a future version.  Convert to a numpy array before indexing instead.\n",
      "  x[:, None]\n",
      "/opt/conda/envs/python35-paddle120-env/lib/python3.7/site-packages/matplotlib/axes/_base.py:248: FutureWarning: Support for multi-dimensional indexing (e.g. `obj[:, None]`) is deprecated and will be removed in a future version.  Convert to a numpy array before indexing instead.\n",
      "  x = x[:, np.newaxis]\n",
      "/opt/conda/envs/python35-paddle120-env/lib/python3.7/site-packages/matplotlib/axes/_base.py:250: FutureWarning: Support for multi-dimensional indexing (e.g. `obj[:, None]`) is deprecated and will be removed in a future version.  Convert to a numpy array before indexing instead.\n",
      "  y = y[:, np.newaxis]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f7135bdd990>,\n",
       " <matplotlib.lines.Line2D at 0x7f7135bddd10>]"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,axes=plt.subplots()#创建两个对象，画框fig和画布axes\n",
    "fig.set_size_inches(10,10)#设置画框大小\n",
    "axes.set_xlim(1800,2040)#设置画布X轴的大小\n",
    "axes.set_ylim(0,4000)#设置画布Y轴的大小\n",
    "axes.plot(year,china,usa)#基于plot的方法绘图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "55eca815-98e4-4c69-864c-0122d090e545",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-21T02:56:24.183214Z",
     "iopub.status.busy": "2022-03-21T02:56:24.181824Z",
     "iopub.status.idle": "2022-03-21T02:56:24.695787Z",
     "shell.execute_reply": "2022-03-21T02:56:24.694658Z",
     "shell.execute_reply.started": "2022-03-21T02:56:24.183138Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f7135ad6ed0>]"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig1,axes1=plt.subplots(2,2)\n",
    "fig1.set_size_inches(5,5)\n",
    "ax1=axes1[0,0]\n",
    "ax1.set_title('china')\n",
    "ax1.set_xlim([1800,2040])\n",
    "ax1.set_ylim([0,40000])\n",
    "ax1.plot(year,china,color='red')\n",
    "\n",
    "ax2=axes1[1,0]\n",
    "ax2.set_title('usa')\n",
    "ax2.set_xlim([1800,2040])\n",
    "ax2.set_ylim([0,80000])\n",
    "ax2.plot(year,usa,color='blue')\n",
    "\n",
    "ax3=axes1[0,1]\n",
    "ax3.set_title(\"japan\")\n",
    "ax3.set_xlim([1800,2040])\n",
    "ax3.set_ylim([0,80000])\n",
    "ax3.plot(year,japan,color='red')\n",
    "\n",
    "ax4=axes1[1,1]\n",
    "ax4.set_title(\"russia\")\n",
    "ax4.set_xlim([1800,2040])\n",
    "ax4.set_ylim([0,80000])\n",
    "ax4.plot(year,russia,color='blue')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "4c96f862-e497-41e3-acfa-1d042bdc4410",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-21T02:56:30.184097Z",
     "iopub.status.busy": "2022-03-21T02:56:30.183368Z",
     "iopub.status.idle": "2022-03-21T02:56:30.733097Z",
     "shell.execute_reply": "2022-03-21T02:56:30.731984Z",
     "shell.execute_reply.started": "2022-03-21T02:56:30.184057Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f7135959190>"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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ffJO8vDyuvfZaxo8fT4sWLZg4cWIg+S6cDZp9Gb4ikbqwRGJioiYnJ/uthlHGiMgCVS14l7kSxOyr4hKqjdkMI8MwjGJgC4MYhmEA5OTAiy+GnNxKnoZhGADffAPDh4ec3JynYRgGwEcfQY0aISc352kYhpGXB5MnwyWXhJzFnKdhGEZyMmzcCFddFXIWc56GYRgffwxRUXD55SFnMedpGEbFRhUmTYILL4T69UPOZs7TMIyKzaJFkJIC111XpGzmPA3DqNhMmOCq7FdfXaRs5jwNw6i4qMLEidCrV5Gq7GDO0zCMisz8+bBuXZGr7GDO0zCMisyECVC1Khxc8jBkzHkahlExyclxVfZLL4W6dYuc3ZynYRgVky+/hLQ0GDiw8LQFYM7TMIyKyRtvQMOG0KdPsbKb8zQMo+KxbRtMnQq//71r8ywG5jwNw6h4vP02ZGfDLbcU+xbmPA3DqFjk5MDYsXDuuXDaacW+ja0kbxhGxWLSJDe2c8yY47qNlTwNw6g47N8PI0ZAfDxcccVx3cpKnoZhVByefRZWrYIvvoBKx1d2DDm3iFQWkUUi8ql33UpE5otIioj8x9vTHRGp5l2nePEtg+7xkCdfISKXBMl7e7IUEXnwuN7IiEhyc3Pp1KkTl3vrKa5Zs4auXbvSpk0brrvuOg4cOBBIKmZfRrH46CN47DEYMKBIK8YfjaK43qHAsqDrZ4DnVbUNsAMY5MkHATs8+fNeOkQkHhgAdAB6A//yHHJl4CXgUiAeuN5La1QgxowZQ/v27fOvH3jgAYYPH05KSgrR0dGMHz8+EHUiZl9GUfn+ezcsqWtXN76zBAjJeYpIHNAHeN27FqA7MMlLkgRc6YX7edd48T289P2ACaq6X1XXAClAF+9IUdXVqnoAmOClNSoIqampTJs2jcGDBwOgqsyaNYv+/fsDMHDgQCZPnhxIXg+zL6MorF3r2jdjY2HKlCJt8nYsQi15vgDcD+R51w2Anaqa412nAk29cFNgA4AXv8tLny8/LM/R5EYFYdiwYYwePZpKXhtURkYG9erVIyrKNcnHxcWxcePGQPKqmH0ZobJzp5tBtH8/TJsGjRqV2K0LdZ4icjmwRVUXlNhTi4mIDBGRZBFJ3rp1q9/qGCXAp59+SqNGjUhISPBbFbOv8kZ2Nvzud/Drr669M6hZqCQIpbf9HKCviFwGVAfqAGOAeiIS5X3944BA0WAj0AxIFZEooC6QESQPEJznaPJDUNVXgVcBEhMTNQTdjTDnf//7H1OnTuWzzz4jKyuL3bt3M3ToUHbu3ElOTg5RUVGkpqbStGl+YfEAZl9GKLz2Gnz1FYwfD927l/z9VTXkA7gQ+NQLfwAM8MLjgDu98F3AOC88AJjohTsAi4FqQCtgNVAZ58BXe7KqXpoOhemSkJCgRvni66+/1j59+qiqav/+/fX9999XVdXbbrtNX3rpJVVVBdaZfRmFsmKFakyMamKial5ekbICyRqCPzyecZ4PABNE5ClgERDoDh0PvCMiKcB2z8BR1SUiMhFYCuQAd6lqLoCI/AmY7hn7G6q65Dj0MsoBzzzzDAMGDGDEiBF06tSJQYMCgznYBjQw+zKOyurVroMoOxtefx1ESuUx4hxt5JGYmKjJycl+q2GUMSKyQFUTS/s5Zl8Rxtix8O238M47bn3OyZNdB1GPHkW+Vag2ZjOMDMOIbBYuhKFDXXjtWvjhB7j33mI5zqJgc9uNyCEvr/A0RsVCFe66y43hBOc4o6LgwdKfSGbO04gcpk71WwMj3PjsM5g3D/7614Oyr7+GBg1K/dHmPI3IIC/v0H8Qo+Ly22+wd6+bp3799dC6tVvUODAcqWvXMlHD2jyNyGDSJPjxR7+1MPxm8WLnJLdvd9dNm0JSElSp4jqJtmxx4TLASp5G+JOTA48+Ch06+K2J4TfPPHPQcXbvDqmpbkV4gNq14aSTykwVc55G+JOU5KbYPfWU35oYfrF/P/zyC3z8Mdx5pyuBvv++rypZtd0Ib7KyYORI147VzxZDqpDs2wcJCbBihbu++2445RR/dcJKnka48/LLrmr297+X2kwRI8yZMsU5zjPPhA8+CAvHCVbyNMKZPXuc0+zRo3QWdjAig8mToUkTNyTpOLfOKEnCRxPDOJyxY2HbNudAjYqJKnzzDVx0UVg5TjDnaYQrO3a4zbr69oUuXfzWxvCLlSshPR3OP99vTY7AnKcRnjz/POzaBU884bcmhp/897/ufMEF/upRAOY8jfAjK8t1FPXrBx07+q2N4SfffAMxMdCund+aHIE5TyP8mDjRtXXefbffmhh+8803rsoehiMtzHka4cf48a6kYT3sFZtVq2D9+rCssoM5TyPc2LLFLWp73XVhWdowypDXX3c97Fdc4bcmBWLO0wgvPvnEraB01VV+a2L4SVaW28CtXz9o3txvbQrEnKcRXnz8MbRoAWec4bcmhp9MnAgZGW6h4zDFnKcRPuzZAzNmuFKnVdkrNi++6KZhhnG7tzlPI3z4/HM4cMCq7BWdL79022ncdVdYf0TNeRrhw8cfQ8OGcM45fmti+MX27XDTTdC+PfzhD35rc0wKdZ4i0kxEvhaRpSKyRESGevL6IjJDRFZ652hPLiIyVkRSROQnEekcdK+BXvqVIjIwSJ4gIj97ecaKhPHnxihRNmzYwEUXXUR8+/Z0mDiRMa1bQ+XKbN++nZ49e9K2bVt69uzJjh078vOYfZVj/vxn19b5/vtQq5bf2hwbVT3mATQGOnvh2sCvQDwwGnjQkz8IPOOFLwM+BwToBsz35PWB1d452gtHe3Hfe2nFy3tpYXolJCSoEfls2rRJFyxYoPr557obtG2TJrpkyRK977779Omnn1ZV1aefflrvv/9+VVUFVpp9lVM++0wVVEeO9FUNIFkLsQ9VLbzkqappqrrQC+8BlgFNgX5AkpcsCbjSC/cD3vb0mAfUE5HGwCXADFXdrqo7gBlAby+ujqrO8xR/O+heRjmncePGdO7cGT7+mNq1atG+c2c2btzIlClTGDjQFR4HDhzI5MmTA1nqYfZVPnnpJbcn0cMP+61JSBSpzVNEWgKdgPlAjKqmeVGbgRgv3BTYEJQt1ZMdS55agNyoKOTkwOTJrL3gAhYtXkzXrl1JT0+ncePGAMTGxpKenh5IXQWzr/JHWprrMLz55jLbwO14Cdl5ikgt4ENgmKruDo7zvuhawroVpMMQEUkWkeStW7eW9uOMsmLWLPZu2cI1y5bxwgsvUKdOnUOiRYSyaKY0+/KRcePc5IiBAwtPGyaE5DxFpArOcb6nqh954nSvSoR33uLJNwLNgrLHebJjyeMKkB+Bqr6qqomqmtiwYcNQVDcigOx33+WaqChuHDKEq6++GoCYmBjS0lzFJi0tjUaNGuUnx+yr/LBxI0yYAM89B/37w8kn+61RyITS2y7AeGCZqv4jKGoqEPhMDASmBMlv9nrduwG7vOr9dKCXiER7PfO9gOle3G4R6eY96+agexnlHM3MZND779O+XTvueeCBfHnfvn1JSnJN6klJSfQ7uPnbTsy+yg833QTXXw+ZmTB6tN/aFI3CepSAc3FV8p+AH73jMqABMBPX+/kVUN9LL8BLwCrgZyAx6F63AinecUuQPBH4xcvzIiCF6WW9oeWDOU88oYCe1qqVduzYUTt27KjTpk3Tbdu2affu3bVNmzbao0cPzcjIUFXXE2r2VU7Yv19VxPWwT53qtzb5EGJvu7i0kUdiYqImJyf7rYZxvFx9tdvYa8MGqFy50OQiskBVE0tbLbOvMuCrr6BnT5g6NaxWTgrVxmyGkeEfO3fCtGkwYEBIjtMoZ0yYANWru91RIxBznoZ/fPihm8t+ww1+a2KUNWvWwBtvwKBBcMIJfmtTLMx5Gv7x6qtu5ZyEBL81Mcqar75y2wpH8FYr5jwNf1i4EL7/Hu64I6xXzjFKidmzITY2LDd2CxVznoY/vPyyq67dfLPfmhhljapznhdeGNEfTnOeRtmzaxf8+99ufF+9en5rY5Q1KSmwaZNznhGMOU+j7Hn7bTco+o47/NbE8IPZs905THfFDBVznkbZouqq7GeeaR1FFZWvv4aYmIiailkQUX4rYFQwZs+GZcvgrbf81sTwg/374bPP4MorI7q9E6zkaZQ1//oX1K8P117rtyaGH3z+uWvzvv56vzU5bsx5GmXHxo1un6JBg6BGDb+1MfzgrbfcPlUROqsoGHOeRtnx2mtuzcbbb/dbE8MPPvsMpkyBO++EqMhvMTTnaZQNe/a4vbgvuwxat/ZbG8MP/vlPaNIEHnnEb01KBHOeRtnw0ktuV8THHvNbE8MPZs6EL76AP/0pYrbZKAxznkbpk50NY8ZA797QpYvf2hhlTV4e3H8/tGwJ99zjtzYlRuQ3PBjhz+TJsHmzDYqvqHz4oVvLICkJqlXzW5sSw0qeRumyfz88/rgbEN2nj9/aGGXN5s3w4IPQoQPceKPf2pQoVvI0SpdHH3WD4qdNswWPyxOqsHq1C8fFFVyi/PVXuOQS2LLFtXeWs9/fSp5G6fHKK/Dss3Dbba6X3Sg/PPYYtGnjjhNPhBkzDo2fMQPOPhv27XOzys47zxc1SxNznkbJs3u3Gwh/++1w6aUwdqzfGhnHw86dkJsLK1bA+++72UFPPeWaYV57zU2zHDfOpc3Lc0ORevWC6Gj47ju3jkE5xKrtRsny3//CH/4A69fDQw/ByJFQtarfWhmF8dtvsGCBWypw1SpXmvztN0hNhR9+cAt5ZGRATg7UqeN6zf/6V6hVyw1+X7oU5s6FESNg1iwYPNiN66xe3e83KzXMeRolQ2YmPPywK2WedBJ8+y2cdZbfWhmqrs05NtZd5+XB4sUH2ys3boTt250DXLXKySpXdu2YtWpBgwauFrFkidvhcvBgaN/eOdAA8fFu2u3ZZzsn+9JLFWKHgLBxniLSGxgDVAZeV9VRPqtkHI3MTJg/H775xv1T1awJc+a4f74//QlGjXKyMCLi7UvVlfoOHHClehFXEty/38l27XLH1q3ud9ixw5UEq1Z12zofjUqV3KD1hg3hzTfh3HNddbtBg9B1u/hi5zCvvda1cQc71nJMWDhPEakMvAT0BFKBH0RkqqouPWqm7dvh3XfdlzQvz7XJBMJ5eQcN7cABN0gb3Bf1eI5KlZwRH+uAo8sCHC4rLC7wD+L+WKEf4P4xTjjh4FGtGixaBD/95OLS090/SpcucMYZ8MsvsG0bNG/uwnv3ukb/nBxYuxaWL3ergGdnu2e0bu2caZMmbp3GMFwdvFj2tXy5Kznn5bnfoCjnks4TsO9QqVXLOcNzznFV77PPhs6dnR3VquVW77/4Ype2QQNnEyLOvovDhRc6Z13BCAvnCXQBUlR1NYCITAD6AUc37jVr4Kabyka78ki1aq5UEhPjxuL9619HphFxDrZmTXeOjXW9ps2auX/Mc86JlG00im5flSq5ElTAqYR6LkraouStUsUdUVHQtKmT1a3rVqeqUcOFA0etWmXzV63ghIvzbAoE1y1Sga7HzNGhg5u5EjC6SpUOlg4D4apV3RFYwSU3t/Aj8JU/WlyoJb6jyQIcLjtWXMDRQeEl38NLuwcOuNJHZqY7fvvNDS85+eSD98/NdbNAwLVfNWjgqobx8VC7dmG/XSRQdPtq1w6mTy9NnYwIJ1ycZ0iIyBBgiHe5X9q2/cVPfUqYE4FtfitRwpTGO7Uo4fvlc4R9iZQn+4LyZ2Ol9T4h2Vi4OM+NQLOg6zhPdgiq+irwKoCIJKtqYtmoV/qUt/eBsHqnCm9fUP7eye/3CZdB8j8AbUWklYhUBQYAU33WySg/mH0ZJU5YlDxVNUdE/gRMxw0leUNVl/isllFOMPsySoOwcJ4AqvoZ8FkRsrxaWrr4RHl7HwijdzL7AsrfO/n6PqLBYwwNwzCMkAiXNk/DMIyIImycp4i8ISJbgoeHiMgZIjJPRH4UkWQR6eLJRUTGikiKiPwkIp2D8gwUkZXeMdCPdwnSpaB36igic0XkZxH5RETqBMU9KiKbRGSFiFwSJH/Ak6WIyINl/R5BejQTka9FZKmILBGRoZ68vojM8P7mM0Qk2pOHze9k9gUi8pD3TofbV+/3qXTfAAAgAElEQVRwsC9Pl8ixMVUNiwM4H+gM/BIk+xK41AtfBswOCn8OCNANmO/J6wOrvXO0F44Os3f6AbjAC98KPOmF44GfgU9xbTmrcJ0bY4DfgESgKrAYiPfpfRoDnb1wbeBXT+/RwIOe/EHgmXD7ncy+iAd24iYHtPLsqzVwrmdfZwLV/bSvSLOxcOow+kZEWh4uBgJfzrrAJi/cD3hb3V9pnojUE5HGwIXADFXdDiAiM4DewPulq33BHOWd2gHfeOEZwHQRSQb+7slygQSgFjALOBnYA4zw4n8FFovIqkIe3xz3T7D2OF7hEFQ1DUjzwntEZBlu9k4/3N8eIAmYDTxAGP1OFdm+gEeBq3G2dTbO4cR56d4HsoALgHtwHxRf7Asiy8bCxnkehWE45/IcronhbE9e0HS7pseQhxNLcD/4ZOB3uMHbM4HvgYXAx166T4C9wGM4Q7jfk98MnKeqpxzrISLybUkrftj9WwKdgPlAjGf0AJuBGC8c7r9TRbEvgHOAn4A5OL1Pw71/LLBfVZ8TkTdwpbQMv+3Le0ZLwtjGwqbN8yjcAQxX1WbAcGC8z/qUBLcCd4rIAly15ICq7sUtXnEvrtr+Ka4EcTbwEHCJJ3sLV8VCRIZ7bXU/ishmEVkfdF2qO22JSC3gQ2CYqu4OjvNKAJEyhKNC2Jcn74ir3ifjqvYBcnBVXlT1Vpzz9dW+vOeHvY2Fe8lzIDDUC38AvO6FjzbdbiMHi/YB+exS1bCIqOpyoBeAiLQDAltKvuvFP+3FrQC+w7V/jlTVSzz5MziH+zzwvCcbCaxV1bcCzxGRUtnnV0Sq4Iz6PVX9yBOni0hjVU3zqkxbPHm4/04Vwr5E5CJcW2JzEVkOVAEaAoES94meHJxP8M2+vHtHho351TB8lMbilhza+L0MuNAL9wAWeOE+HNpI/H1QI/EaXNUj2gvXD7N3auSdKwFv40oKY4HluFLlYtxSadnAeuBHYL8nW4xr/1wMXOzF/YirxqwPuo4HvgValvC7iKfzC4fJn+XQxvzR4fg7VWD7+hpX2lwDVMN1EmXhOiRreLbWCtfWvtwv+4o0G/PtRy/gj/Y+rqE4G9c+Mcj7kRd4P+Z8ICHoD/wSrsfwZyAx6D63AinecUsYvtNQXKfPr8AovIkKXvpHvHdaATwF3OXJL/PSr/KMaN5hzxkJ/AFXrW/uyUrDeZ6Lqy79FPSPdBnQANduuxL4KmCk4fQ7VWT7wjnFkbjazSpcW+Bm4GVcG3q69z77gX/6ZV+RZmM2wygMEJHhuCpkMLG49qjDl9xaApykqt2C8o8E1uIM6xRVHe816P9eS7g31IhMgmzkXlwprC3we9yH4xtcVf4fuKaiCWZfhRPubZ4VAg1qXwIQkYtxpYYM4EVV/SQoriUwQUTG4aop4Ibb5ACZXppSW/PSiGh2quqpng29q6rJInI+rs1wHK4k+wiA2VfhmPMMI0QkFrgTN8TkSmA7MFFELgdeVtUfA2lV9fZC7tW9NHU1IprKQJ6IPIwb5TEMVy1vjGv7NfsKAXOeYYC4FcwH48ahjQfOUtWdXtzFwE3AeBFphptx1DGod/RoNC9FlY0IRUTm4lZKfx14VlWzPfk5uI6Xd4EnzL4Kx5xnePAFMA/4WQ9rhFbVXFxD/VsiEoMrHVwR3CZVEGUxiNmIPFT1rKPIh4tIQ9zMtmvMvkIgxB6w4biOil9w7SLVcUMb5uN6sv4DVPXSVvOuU7z4lkH3eciTrwAuCZL39mQpeMMR7Djm71HZbx1K+H3MvsLoKG/2VWp/pxD+kE1xvXM1vOuJuPaRicAATzYOuMML3wmM88IDgP944Xhcz141Di5MUNk7AosU+LrwhR0+GKDZlx0ReoQ6PTMKqCEiUcAJuLFl3YFJXnwSroMD3LzaJC88CeghIuLJJ6jqflVdgysFdCFoT21VPQAE9tQ2Kg5mX0bEUajzVNWNuGlc63FGvQs3sHinquZ4yYIn3edPyPfid+EGuEbyYgtGKWH2ZUQqhXYYeYuO9sNVhXbi5gD3LmW9jqZL/r7aNWvWTDjllGMu/GJEADk5OdSuXZtWrVoRFRVVc9WqVTdER0ffkJaWRmJiogKcdtpprFy5kubNExW3rFqpYPZlACxYsGCbqjYsLF0ove0XA2tUdSuAiHyEW96qnohEeV//4H2wAxP1U71qWF3cYO9j7Z1d6J7acOi+2omJiZqcnByC+kY488EHH/DFF18wfrxb0Ojtt99m7ty5fPDBB8ybN4+oqCjmzp3LyJEjadRoOu++K/sw+zJKERFZF0q6UNo81wPdROQEr22pB26Riq+B/l6agcAULzyVg1MN+wOzVFU9+QARqSYirXDTw77H9tSu0DRv3px58+aRmZmJqjJz5kzi4+O56KKLmDTJNXkmJSXRr18/5s0DXO3H7MvwnUJLnqo6X0Qm4RbqzQEW4b7O03DTBJ/yZIG1EMcD74hICm6GzADvPktEZCLO8ebgFr3IBRDbU7vC0rVrV/r370/nzp2JioqiU6dODBkyhD59+jBgwABGjBhBp06d6NdvEHfdBbi5/g3Mvgy/idiFQaxaVbGYNg0uvxxAFqhqYmk/z+yr4iISmo2F+0ryhgHAvHlQubLfWhjGQcx5GhHBvHlw+ul+a2EYBzHnaYQ9ubnw/ffQtavfmhjGQcx5GmHPzz/D7t1w7rl+a2IYBzHnaYQ933rr95jzNMIJc55G2PPtt9CsGbSw9cuNMMKcpxHWqMKcOVbqNMIPc55GWLN2LWzaZM7TCD/MeRphzZw57nzeef7qYRiHY87TCGu+/Rbq1oUOHfzWxDAOxZynEdZ8+y2ccw5UMks1wgwzSSNs2boVli2z9k4jPDHnaYQts2a5c/cKv0O4EY6Y8zTClpkzoU4dSEjwWxPDOBJznkbYMnMmXHABRIWy34FhlDHmPI2wZO1aWL0aevTwWxPDKBhznkZYEmjvNOdphCvmPI2wZMYMiImx8Z1G+GLO0wg7srPh88/hsstAxG9tDKNgzHkaYcc338CuXdCvn9+aGMbRMedphB1Tp0L16nDxxX5rYhhHx5ynEVZkZ8N//gOXXgo1a/qtjWEcnZCcp4jUE5FJIrJcRJaJyFkiUl9EZojISu8c7aUVERkrIiki8pOIdA66z0Av/UoRGRgkTxCRn708Y0WspasisXPnTvr3788pp5xC69btSU+fyzXXbKdnz560bduWnj17smPHjvz0Zl9GOBBqyXMM8IWqngJ0BJYBDwIzVbUtMNO7BrgUaOsdQ4CXAUSkPvA40BXoAjwecLhemj8G5et9fK9lRBJDhw6ld+/eLF++nDPOWMyJJ7Zn4cJR9OjRg5UrV9KjRw9GjRoVSF4Xsy8jHFDVYx44Y10DyGHyFUBjL9wYWOGFXwGuPzwdcD3wSpD8FU/WGFgeJD8k3dGOhIQENSKfnTt3asuWLTUvL0+XLFEF1UceUW3Xrp1u2rRJVVU3bdqk7dq1U1VVYKvZl1GaAMlaiH2oakglz1aewb4pIotE5HURqQnEqGqal2YzEOOFmwIbgvKnerJjyVMLkBsVgDVr1tCwYUNuueUWzj23E5UrD+aPf9xHeno6jRs3BiA2Npb09PRAliqYfRlhQCjOMwroDLysqp2AfRysogPgeWstefUORUSGiEiyiCRv3bq1tB9nlAE5OTksXLiQiy++g507F9GxY01ef33UIWlEhLJopjT7MopCKM4zFUhV1fne9SScM00XkcYA3nmLF78RaBaUP86THUseV4D8CFT1VVVNVNXEhg0bhqC6Ee7ExcURFxdHUlJXoqPhySf7s3DhQmJiYkhLcxWbtLQ0GjVqFMiSjdmXEQYU6jxVdTOwQURO9kQ9gKXAVCDQozkQmOKFpwI3e73u3YBdXvV+OtBLRKK9hvxewHQvbreIdPN6QW8OupdRzomNjaVWrWZ89dUKHn8cvv9+JvHx8fTt25ekpCQAkpKS6HdwxPxOzL6MMCDUxb7uBt4TkarAauAWnOOdKCKDgHXAtV7az4DLgBQg00uLqm4XkSeBH7x0T6jqdi98J/AWUAP43DuMCkLNmv+kSpUbee21A5x0UmvefPNN8vLyuPbaaxk/fjwtWrRg4sSJgeS7cDZo9mX4irjmysgjMTFRk5OT/VbDOE5+/hlOPx1GjYIHHig8vYgsUNXE0tbL7KviEqqN2Qwjw1feeguqVoU//tFvTQyjaJjzNHxDFSZPdnPY69f3WxvDKBrmPA3f+OUXt1r8lVf6rYlhFB1znoZvfPCBW6+zb1+/NTGMomPO0/CFfftg/Hi45BK3YrxhRBq2L6HhC08+CWlp8P77fmtiGMXDSp5GmaMKEye6NTvPP99vbQyjeJjzNMqcb7+FNWvgqqv81sQwio85T6NM+Pxz5zQBnnkGTjwRbrjBX50M43iwNk+j1PnxR7cTJrj92KdNgyeegBNO8FcvwzgerORplDrjxh0Md+/u9ia66y7/9DGMksCcp1Gq5OXBhx9C//4HZX/7m80oMiIfc55GqfLTT7Bt26ED4a3UaZQHrM3TKFVmzHDnHj1gyRLIzYUoszqjHGBmbJQqX30F8fHQpIk7DKO8EHbOc8GCBY2ioqJeB07lGM0Ko0ePZtmyZWWnmFFk8vJg+HCoXRuK8lNVr16duLg4qlSpUnrKGcZxEnbOMyoq6vXY2Nj2DRs23FGpUqWjrtS8dOnSFu3bty9L1YwicOAArF/vxnO2b+962ENBVcnIyCA1NZVWrVqVrpKGcRyEY4fRqQ0bNtx9LMdphD+bN8POndCoUeiOE9xOmQ0aNCArK6v0lDOMEiAcnWclc5yRz969UKsWNG9e9Lxlsc2wYRwv4eg8jQgnJwcyM6FOHb81MYzSw5zncbB27VpEhJycnDJ/9ltvvcW5555bKvd++eWXiYmJoVatWmRkZBQ5/9697ly7dgkrZhhhhDnPItCyZUu++uorv9UoVbKzs7nnnnv48ssv2bt3Lw0aNCjyPfbudSvEF6Wt0zAijZCdp4hUFpFFIvKpd91KROaLSIqI/Mfb0x0RqeZdp3jxLYPu8ZAnXyEilwTJe3uylD179tQtudczikp6ejpZWVl06NCh2PfYs8c5zkpF+DTn5ubSqVMnLr/8cgBSU1Pp2rUrbdq04brrruPAgQOBpHI89iUiDxb7xQwjiKKUPIcCwaP1ngGeV9U2wA5gkCcfBOzw5M976RCReGAA0AHoDfzLc8iVgZeAS4H4rKysmvv27at+HO9UKtx0002sX7+eK664glq1ajF69Oj8uPfee4/mzZtz4okn8re//S1fnpeXx6hRozjppJNo0KAB1157Ldu3bz/qM0aPHk3jxo1p0qQJr7/+OiJCSkoKABkZGfTt25c6derQpUsXVq1adUheEWHs2LG0bt2aE088kfvuu4+8vLwCn7N//36GDRtGkyZNaNKkCcOGDWP//v38+uuvnHzyyQDUq1eP7t27H5F39uzZxMXFHSILLpF/9933XHNNImeeWYeYmBjuueee/HS/+93viI2NpW7dupx//vksWbIkP27MmDEEDz37v//7P4YPH05KSgrR0dGMHz8+EHUix2FfwPVeWsM4PlS10AOIA2YC3YFPAQG2AVFe/FnAdC88HTjLC0d56QR4CHgo6J7TvXz5eVWVOXPm7NiwYUOqqiaravItt2j6mWfqniOPvXrBBVoix9ChGhItWrTQGTNm5F+vWbNGAR08eLBmZmbqjz/+qFWrVtWlS5eqquoLL7ygXbt21Q0bNmhWVpYOGTJEBwwYUOC9P//8c42JidFffvlF9+3bpzfeeKMCunLlSlVVve666/R3v/ud7t27V3/++Wdt0qSJnnPOOfn5Ab3wwgs1IyND161bp23bttXXXnutwGc9+uij2rVrV01PT9ctW7boWWedpSNGjDjknbKzswvM+/XXX2vTpk2P+nc588xu+te/vq27d6vu2bNH586dm59u/Pjxunv3bs3KytKhQ4dqx44dVVV1w4YN2r17d505c6b26dNH8/LytF69evk6fPfdd9qrV6/Ae+46Hvs6PN3RjoSEhALf3yj/AMkagl8MteT5AnA/ECjKNAB2qmqgpyQVaOqFmwIbPMec4xl7g2D5YXkOkVeuXDknOzu7aoh6hQWPP/44NWrUoGPHjnTs2JHFixcDMG7cOP72t78RFxdHtWrVGDlyJJMmTSqwg2nixInccsstdOjQgRNOOIGRI0fmx+Xm5vLhhx/yxBNPULNmTU499VQGDhx4xD0eeOAB6tevT/PmzRk2bBjvH2WDoPfee4/HHnuMRo0a0bBhQx5//HHeeeedEvlbiFQhNTWF337bRq1atejWrVt+3K233krt2rXz/xaLFy9m165dDBs2jNGjR1PJq+dnZGRQu3ZtorxJ8HFxcWzcuDFwm6och31xqK0aRrEpdIaRiFwObFHVBSJyYemrdChvvHHQ8Ddv3nzitm3bGoKrEp9++ullrU6BxMbG5odPOOEE9nrdzevWreOqq67KdwoAlStXJj09naZND/3/3bRpE4mJifnXzZo1yw9v3bqVnJycQ2QtWrQ4Qo/D4zdt2lSgvps2bTok/7HSFgVVeOSR8bz66mPEx59Cq1atePzxx7n88svJzc3lkUce4YMPPmDr1q35f5OJEyfSqFEjEhISmD179nHrcDyIyBBgCEDz4gxQNSKazEy45ZbQ04cyPfMcoK+IXAZUB+oAY4B6IhLlff3jgEDRYCPQDEgVkSigLpARJA8QnCdfnpubG1WlSpV9BSkSGxu7LTY2dhvA0qVLE0J7xZKjqIO3mzVrxhtvvME555xTaNrGjRuTmpqaf71hw8HCUsOGDYmKimLDhg2ccsopAKxfv/6Ie2zYsCG/o2f9+vU0OcpKHE2aNGHdunUhpT2cmjVrkpmZmX+dm5vL1q1bAcjIgCZN2vLOO+9Tt24eH330Ef379ycjI4OPPvqIKVOm8NVXX9GyZUt27dpFdHQ0CxYs4NNPP+Wzzz4jKyuL3bt3M3ToUPbs2UNOTg5RUVGkpqYGf2wOcBz2dZj8EFT1VeBVgMTERJuoUcF46y23MWGoFFptV9WHVDVOVVviGuRnqeqNwNdAYInbgcAULzzVu8aLn+W1I0wFBni98a2AtsD3wA9AW6/3vmpWVlbN6OjonaG/QtkRExPD6tWrQ05/++2388gjj7Bu3TrAlSCnTJlSYNprr72WN998k2XLlpGZmcmTTz6ZH1e5cmWuvvpqRo4cSWZmJkuXLiUpKemIezz77LPs2LGDDRs2MGbMGK677roCn3X99dfz1FNPsXXrVrZt28YTTzzB73//+5DeqV27dmRlZTFt2jSys7N56qmn2L9/PwDp6TBz5rtkZ7uSZb169QCoVKkSe/bsoVq1ajRo0IDMzEwefvhhAO69915SU1NZu3YtEyZMoHv37rz33nt06dKFSZMmAZCUlES/fv0CKuzkOOwLZ8NTQ3pZo8KQmwv/+Ad06RJ6nuMZ5/kAcI+IpODanALdoeOBBp78HuBBAFVdAkwElgJfAHepaq5Xcv0TroF/WfXq1ffVrFkzLCc2P/TQQzz11FPUq1eP5557rtD0Q4cOpW/fvvTq1YvatWvTrVs35s+fX2DaSy+9lD//+c9cdNFFtGnTJr+tsFq1agC8+OKL7N27l9jYWP7whz9wSwH1i379+pGQkMAZZ5xBnz59GDRo0BFpAEaMGEFiYiKnn346p512Gp07d2bEiBEh/Q3q1q3Lv/71LwYPHkzTpk2pWbMmcXFxZGXBb7/BDz98wamndqBWrVoMHTqUCRMmUKNGDW6++WZatGhB06ZNiY+PP6QttCD+8pe/8I9//IM2bdqQkZER/C7bOA77AiZ6aQ0jnylTYNUquO++0POI+2iHD4sXL17bsWPHbYWlW7p0aUJ8fPkdcbJs2TJOPfVU9u/fn99xcixEhJUrV9KmTZsy0O4gubmQmgpbt7pFjk89tWQWO162bBkFrZolIgtUNbGALCVKYmKiJicnl/ZjjDBAFc4+G7ZsgV9/haio0GzMZhiFER9//DH79+9nx44dPPDAA1xxxRUhOU4/2bbNOU6A2FhbJd6IPL77DubNg3vugcqVQ89nzjOMeOWVV2jUqBEnnXQSlStX5uWXX/ZbpULJyIDq1aFlS7f8nGFEGs8+Cw0aFK2nHcJwMeSKzBdffFHsvH40v2RmuqNZM7fosWFEGj/+6No7R46EE04oWl4reRrFJiPDLQBi2wgbkcrIkVC3LgwdWvS84eg88/Ly8mw13DBHFbZvd4ZX0lsNhVsnplE+WbjQlTrvuQe8UXVFIhyd5y9bt26taw40vNm9G7KzXVtRSaLeHkbVq4fd2jBGOWPkSOc0i1PqhDBs88zJyRm8efPm1zdv3nzM3TMzMjJsuwYf2boVsrJcO9HmzSV778DumYZRWixYAJ98Ak884WpPxSHsnGdCQsIWoG9h6Wwcnn/k5kJiItx0E4wb57c2hlE0VOHee11b/Z//XPz7hJ3zNMKflBTXy37WWX5rYhhFZ8oUmD0bXnyx+KVOMOdpFAFVt7nbrFnuOkwWtTKMkNm/35U64+PhttuO717mPI2Quf9+CJ7SX8DsScMIa/75TzeHffr0458NF4697UYYkpZ2qONs29bNLDKMSGHLFnjySejTB3r1Ov77WcnTCInASnq//OKq7T17+quPYRSVxx5zbfUhLIgWEuY8jZCYPBnatHFtRcexsaZh+MJPP8Frr8Hdd4O3nvhxY9V2o1B273alzX793HRMw4gkVA/OInrssZK7r5U8jWMydKgb1pGdDVde6bc2hlF0Jk2CmTNdZ1FJrsNgJU/jqOzZA6+84qo8DRvauE4jMtixAz791JU4N22CP/0JEhLg9ttL9jlW8jSOyvTpblzck09Ct25FWyjWMPxAFS69FObPh4ceclMw9+6F8eNLfqFuc55GgaSmwhtvuIU/HnzQVog3IoPZs53jBHj6aXeePBk6diz5Z9m/hHEEqamuR3LfPtc7aY7TCHd27oToaKhdG+rUgf/9z7XXX3CB6+gsDezfwjiC555zjvP3v4dRo/zWxjAKZ948d96zB264wW1EOHNm6T7TnKdxCN9/7zqJBgyAd97xWxvDCI3vvz8YLqtRIYX2totIMxH5WkSWisgSERnqyeuLyAwRWemdoz25iMhYEUkRkZ9EpHPQvQZ66VeKyMAgeYKI/OzlGSu2UKdvvPgiVKsGzz9fNs/bsGEDF110EfHx8XTo0IExY8YAsH37dnr27Enbtm3p2bMnO3bsyM9j9mUcTqDkCdC7dxk9VFWPeQCNgc5euDbwKxAPjAYe9OQPAs944cuAzwEBugHzPXl9YLV3jvbC0V7c915a8fJeWpheCQkJapQsBw6o1q+vetNNZffMTZs26YIFC1RVdffu3dq2bVtdsmSJ3nffffr000+rqurTTz+t999/v6qqAivNvioGycmqjz+u2r+/6s8/Hz1dbq5qdLRqv36qP/xw/M8FkrUQ+1DVwp3nERlgCtATWAE01oMOdoUXfgW4Pij9Ci/+euCVIPkrnqwxsDxIfki6ox1m3CXPJ584i5g61T8d+vbtq19++aW2a9dON23apKrOwbZr105VVYGtZl/llwMHVL/8UvXWW1WrV3f2CKrnn3/0PMuXuzTjx5eMDqE6zyK1eYpIS6ATMB+IUdU0L2ozEOOFmwIbgrKlerJjyVMLkBtlzNtvu8HwZVbtOYy1a9eyaNEiunbtSnp6Oo0bNwYgNjaW9PT0QLIqmH2VS7Ky4OyzYdEid929uxur+cMP8PDDsHYttGx5ZL5Alb1bt7LS1BHyDCMRqQV8CAxT1d3BcZ63LvUtD0VkiIgki0jy1q1bS/txFYp162DqVNdRVNK7YYbC3r17ueaaa3jhhReoU6fOIXEiUib7VZl9+cdPP7mFZxYtgtGj3R5ZM2fCxRdD//4uzRdfFJx37lw3PKmkFvwIlZCcp4hUwTnO91T1I0+cLiKNvfjGwBZPvhFoFpQ9zpMdSx5XgPwIVPVVVU1U1cSGDRuGoroRIiNGuBlEf/lL2T87Ozuba665hhtvvJGrr74agJiYGNLSXMUmLS2NRo0a5SfH7KtckZXlPtq5ufDRR3DffXDiiQfj27Rxa8euWlVw/lmz4NxzoVIZTzYPpbddgPHAMlX9R1DUVCDQozkQ1xYakN/s9bp3A3Z51fvpQC8RifZ65nsB07243SLSzXvWzUH3MkqZAwfgzjvh/fdh8GBo0aJsn6+qDBo0iPbt23PPPffky/v27UtSUhIASUlJ9Ds40nknZl/liscfh2XL4K234KqrjowXgebNXe3ocNasgZUr4ZJLSl3NIymsURQ4F1cl/wn40TsuAxoAM3G9n18B9b30ArwErAJ+BhKD7nUrkOIdtwTJE4FfvDwvAlKYXtagf3ysXq16wQUHG+Rvukk1I6Ps9ZgzZ44Cetppp2nHjh21Y8eOOm3aNN22bZt2795d27Rpoz169NAMTzkg2eyr/DB3rmqlSqqDBx873cUXq3bpcqR83Dhnv8uWlZxOhNhhJC5t5GFbD4fO2rUQF3dwmuXbb8PAgYemycmJjIU/RGSBqiaW9nPMvsqG/v1hzhxXejysqfsQBg92KyVt3nyo/Oqr3R7sa9eW3FqzodqYLUlXzlmzBlq1OtiD/t138Ic/uPDgwW4e+6+/RobjNMoXe/fCl1+6uefHcpzgdjBIT3dLzAXIznadSr16+bNIt03PLOcE9h6aOdMtnjBunDPUtWvdntU218bwiz/+0e0pdHgtqCDOO8+d58yB6647GN6926f2TqzkWe6ZEtQ1MnKkm69+zTVuSwJznIZf/PQTTJjgtsU455zC03fq5HrcA8vNgZtKXL8+XHZZ6el5LMx5lmN27HBf5z//2V1708bzv9yG4RcTJpzwEFQAAAq1SURBVLiPd6iru0dFuZWSfv7ZXa9Z49bpvO02OOGE0tPzWJjzLMfMmePGzvXvD//+N8TEwKBBbuaGYfjFggVuIHzv3nBw+G7hnH46LF7sxodMnuzOt91WenoWhrV5lmPmzIGqVeHMM12b0fXX+62RYcDf/uYWLX7vvaLl69HD7W5w661uXGjbtmU/LjkYK3mWY+bMgS5dXFuRYYQDS5bAxx+7Tdmio4uW9/rrXefQW2+5ts9LLy0VFUPGnGc5Zd8+Vz0K9FIaRjjwwANutMfQoUXPK+KanwIdTHfcUbK6FRWrtpcDNmxw7ZlVq7rrnByYNs2dL7rIX90MI8DMmc4un3nm0LnrRaF+ffj2Wzfsrl69ktWvqFjJM4JZsgQeecTN+330USdTdW1D110HzZpZ55ARHqSluZ71Fi0Ojv44Hvx2nGDOMyLJzXW9ld27w9//7mSvv+4c55w58M03TvbnP9vMISM8uOsu2LjRTQ0uL23wVm2PINavd0M1MjNd29GZZ7rpbQsXuh7IKVNcY/wJJxzcxM0w/GTHDrcb68cfu51Yzz/fb41KDnOeYc6vv7phGVOnumEaAWJi3Dz1qCjo0MHN1HjlFVfyvOEGt22wYfjJp5/CjTe6KZQtW8Lw4X5rVLJYtT3MWLcOWrd2PYvnnusc45VXHnScQ4e6FZJefPHgKklRUa6d84svXC97KHOFDaM0Wb3aDS3KyXHDiz755GCHZnnBnGeYMGuWc4xt2ripZwD/+5+bQVGvHtSqBStWwAsvuN71wNYEAQJV9PPOC22usGGUBnPnullsZ5zhVnZftsx91E891W/NSh6rtocBEya46k1enrt+4gm3cMJDD0Hnzm7zq+rV3TCNo9G7t+t9b9zYFvww/GHDBrfnUGYm9O3rOjObN/dbq9LDnKcPTJoE//2vq56PHeuWh2ve3I2Bi4s7chhGkyah3Tc+vsRVNYwjWLkS3n0Xdu2CBx+E2Fgnv+ceVwD49lu3C2Z5/4ib8yxFPv3UDSFat85t6bt6tVt8eP/+Q9Pddhv/3975htZZXgH8d/K/ps2fpp2ENNKWVNEibdpixohrYWx27YcMR2HgB22nQsvEP4hG/Fg/ODtwm/gldKLCojA2pgOny0qLIEubVrPGplHTKMwundZYFVvzr2cfznOXe7vemFySvM+9OT94uOd93ve9POe+h3PPc54/L08/DUuWJNNOx5kpfX2wbRuMjNjxM89Yvn3lSgsK9u9fPGkjd55zyMSE7W49NmZR5B132AYIra22C/aqVbB5M7S0WP2xY5bnLMR8kFN4jI7a4ouKCpset2SJRaCdndDVZT2fhx9OupULhzvPGfDNN5b8FrFpF2fO2NSh7m7bJqunx5aLffSRvVogRUsLHD6cPaK8554Fab7jANDfb1Pfbr0V6uqgt9ciyCNHbEBy7177U09naMh6T6+8YteeO2c9quZmO//EExZtvvMONDQUzgT4mbBonefoqDnDL76AykqLGKurzfmdPm1GVlJi+ZuODosmi4ttdU+KujozvOZm25dw61YzvqoqizLb2rwr7iTD11/b66RHRmBgwJxbb6+dW73a8pTd3Zn3HDpkjrG01I4PHrQ/+KIi65o3NVlvaufOzPtEbGBzsZG3znN8HD791FYwFBXZceq9zpOTNsgyOWlO78IFOH/eus6XL9t0itdfz8w9FhfboM3wsEWaKcrKYNcuG9wZHzfn2NQEN94IN99s31fkE76ceeLyZbh0yWzy0iUrFy+ac7x4cUr+7DOz6epq24aws9PSQmB/4Bs22BZuqjbgc/Ik7N5tszPuvts2F37oIdtj8667LIC47z5zms8/b8GAk0k0rx4Wke3Ab4Bi4KCqPjn99VvUXuE9e1assAm8ZWXmZC9cMOM8e3Yqgly3znKYjY3TTxFyFpZcXz08W/tav36LdnYeZ3KSjDIxwbfWjY1lOruryd92PiWPjc1Oz+pq602VlcG+fWbnGzdmTlBXNaecvu+BqkWk9fW2Wu2RRyzY6OubGk1fLMzUxqKIPEWkGHgW+CHwMdAjIq+qan+2e667zpLTNTXm/JYuhRtusC7E5KRFpSUlVmpqrItdX2/R5rJlUF6+UNo5SZOLffX3m9OZK8rLLQKsqLDPVKmosL0I6uoyz00nV1ZaueYaK5WV5girqmzU+623zOE1NWX7Pf5/wxgRc7bt7dYtr6qy0fPF5jhnQxTOE7gFGFTVIQAReRloA7Ia98qV1q2YLVcmxJ1Fwazta+1aOHDAnEyqlJRkHmerLy3NdJDl5Qub2mltze2+Rx+1d6APDNigknfVpycW59kA/Cvt+GOgJaG2OIXHrO2rthZuv31e2xQlzc1TI+nO9MTiPGeEiNwL3BsOR0Xk3STbM8esAM4n3Yg5Zj50mrdXfhW4fUHh2dh86TMjG4vFeZ4FGtOOV4W6DFS1A+gAEJHjuQwcxEqh6QNR6bTo7QsKT6ek9Yllkk0PsE5E1ohIGfAz4NWE2+QUDm5fzpwTReSpqhMi8gvgDWwqyXOqeirhZjkFgtuXMx9E4TwBVPU14LVZ3NIxX21JiELTByLSye0LKDydEtUnmknyjuM4+UQsOU/HcZy8IhrnKSLPicgn6dNDRGSjiHSLSK+IHBeRW0K9iMhvRWRQRE6KyKa0e+4UkQ9CSfRtPll02iAi/xCRPhH5i4hUpZ17LOj0nojclla/PdQNikj7QuuR1o5GETksIv0ickpE7g/1y0WkK/zmXSJSG+qjeU5uX/HbV2hL/tiYqkZRgO8Dm4B30+r+Bvw4yDuAI2nyXwEBvgscDfXLgaHwWRvk2sh06gG2BnkPsD/INwH/BMqBNcAZbHCjOMhrgbJwzU0J6VMPbAryMuD90O6ngPZQ3w78Mrbn5PYVv33lm41FE3mq6pvAyJXVQOqfsxr4d5DbgBfV6AZqRKQeuA3oUtURVf0c6AK2z3/rr04Wna4H3gxyF/DTILcBL6vqqKp+CAxiywr/t7RQVceA1NLCBUdVh1X17SB/BZzGVu+0AS+Ey14AfhLkaJ6T21f89gX5ZWPRjLZn4QHgDRH5FZZi+F6ov9pyu4Zp6mPiFPbA/wzsYmrydgOQvsNietujW7oqIquBZuAocK2qDodT54Brgxz7c3L7MqKzL4jfxqKJPLOwF3hQVRuBB4HfJdyeuWAPsE9ETmDdklluOpY8IrIU+CPwgKp+mX5Orc+UL1M43L4iJR9sLHbneSfwpyD/AetiQPbldjNahpckqjqgqj9S1c3AS1i+CfJEJxEpxYz696qaejb/CV0lwucnoT52ndy+ItQpb2wsqcRwlmTxajKT36eBbUH+AXAiyDvJTBIfS0sSf4gliGuDvDwynb4TPouAF4E94Xg9mQn9ISyZXxLkNUwl9NcnpIuENv/6ivoDZCbzn4rxObl9xW1f+WZjiT30q/xoLwHDwDiWn/g50AqcCA/0KLA57Qd+FvtX7QO2pH3PHiwZPgjsjlCn+7ERxPeBJwkLFcL1jwed3iOMAof6HeH6M8DjCerTinWXTgK9oewA6oBDwAfA31NGGtNzcvuK377yzcZ8hZHjOE4OxJ7zdBzHiRJ3no7jODngztNxHCcH3Hk6juPkgDtPx3GcHHDn6TiOkwPuPB3HcXLAnafjOE4O/Bf+hO/7eIM7rgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 360x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.font_manager import FontProperties#导入关于中文字体的包\n",
    "## 中文显示问题\n",
    "myfont=FontProperties(fname=r\"微软雅黑.ttf\",size=12)\n",
    "#创建figure对象以及对象包含的多个子图\n",
    "fig2,axes2=plt.subplots(2,2)\n",
    "fig2.set_size_inches(5,5)\n",
    "fig2.suptitle(\"各国GDP\",fontproperties=myfont)\n",
    "ax1=axes2[0,0]\n",
    "ax1.set_title(\"中国\",fontproperties=myfont)# 给第一个图副值titile\n",
    "#我们单独给第一个图的x轴y轴设置了不同的数值范围\n",
    "ax1.set_xlim([1800,2040])\n",
    "ax1.set_ylim([0,80000])\n",
    "ax1.plot(year,china,color='red',label='GDP' )\n",
    "#定义第三个字图\n",
    "ax2=axes2[1,0]\n",
    "ax2.set_title(\"美国\",fontproperties=myfont)\n",
    "ax2.set_xlim([1800,2040])\n",
    "ax2.set_ylim([0,80000])\n",
    "ax2.plot(year,usa,color='blue')\n",
    "ax3=axes2[0,1]\n",
    "ax3.set_title(\"日本\",fontproperties=myfont)\n",
    "ax3.set_xlim([1800,2040])\n",
    "ax3.set_ylim([0,80000])\n",
    "ax3.plot(year,japan,color='red')\n",
    "ax4=axes2[1,1]\n",
    "ax4.set_title(\"俄国\",fontproperties=myfont)\n",
    "ax4.set_xlim([1800,2040])\n",
    "ax4.set_ylim([0,80000])\n",
    "ax4.plot(year,russia,color='blue')\n",
    "# 加入图例\n",
    "ax1.legend()\n",
    "ax2.legend(('the gdp of usa',),loc='right',fontsize=12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "c832c51f-625b-41e1-bff1-99e8f49a677c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-21T02:56:36.309296Z",
     "iopub.status.busy": "2022-03-21T02:56:36.308687Z",
     "iopub.status.idle": "2022-03-21T02:56:36.697906Z",
     "shell.execute_reply": "2022-03-21T02:56:36.696956Z",
     "shell.execute_reply.started": "2022-03-21T02:56:36.309252Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,0,'年')"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#创建figure与axes对象\n",
    "fig,axes=plt.subplots()\n",
    "#设定figure图的大小\n",
    "fig.set_size_inches(10,10)\n",
    "axes.set_title(\"The GPD of China\")\n",
    "#设定axesx轴y轴的数值范围\n",
    "#axes.set_xlim(1800,2040)\n",
    "#axes.set_ylim(0,40000)\n",
    "axes.axis([1800,2040,0,40000])\n",
    "###基于plot方法绘图\n",
    "axes.plot(year,china)\n",
    "axes.axis('tight')\n",
    "#axes.axis('equal')\n",
    "axes.set_ylabel(\"人均GDP美元\",fontproperties=myfont)\n",
    "axes.set_xlabel(\"年\",fontproperties=myfont)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "d83d46d7-b443-42b8-a75c-4fc2591e3414",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-21T02:56:43.055619Z",
     "iopub.status.busy": "2022-03-21T02:56:43.054469Z",
     "iopub.status.idle": "2022-03-21T02:56:43.291618Z",
     "shell.execute_reply": "2022-03-21T02:56:43.290674Z",
     "shell.execute_reply.started": "2022-03-21T02:56:43.055571Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np \n",
    "x=np.linspace(-2*np.pi,2*np.pi,200)\n",
    "y=np.sin(x)\n",
    "fig3,axes3=plt.subplots()\n",
    "axes3.plot(x,y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "41751152-8fc9-424b-a414-de59110ee4e1",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-21T02:59:09.046358Z",
     "iopub.status.busy": "2022-03-21T02:59:09.045614Z",
     "iopub.status.idle": "2022-03-21T02:59:09.286996Z",
     "shell.execute_reply": "2022-03-21T02:59:09.245801Z",
     "shell.execute_reply.started": "2022-03-21T02:59:09.046319Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np \n",
    "x=np.linspace(-2*np.pi,2*np.pi,200)\n",
    "y=np.sin(x)\n",
    "fig3,axes3=plt.subplots()\n",
    "axes3.plot(x,y)\n",
    "axes3.spines['top'].set_visible(False)\n",
    "axes3.spines['left'].set_visible(False)\n",
    "axes3.spines['right'].set_position(('data',0))\n",
    "axes3.spines['bottom'].set_position(('data',0))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "ee90000b-6567-4c98-9982-e6fc4273ce58",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-21T02:56:54.061550Z",
     "iopub.status.busy": "2022-03-21T02:56:54.060756Z",
     "iopub.status.idle": "2022-03-21T02:56:54.515525Z",
     "shell.execute_reply": "2022-03-21T02:56:54.514603Z",
     "shell.execute_reply.started": "2022-03-21T02:56:54.061491Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.patches.FancyArrow at 0x7f71357a9c10>"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 792x792 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "### 通过设置spines，将上面的sin图进行修饰\n",
    "import numpy as np \n",
    "x=np.linspace(-2*np.pi,2*np.pi,200)\n",
    "y=np.sin(x)\n",
    "fig3,axes3=plt.subplots()\n",
    "fig3.set_size_inches(11,11)\n",
    "axes3.set_xlim(-7,7)\n",
    "axes3.set_ylim(-1,1)\n",
    "axes3.plot(x,y)\n",
    "axes3.spines['top'].set_visible(False)\n",
    "axes3.spines['right'].set_visible(False)\n",
    "axes3.spines['left'].set_position(('data',0))\n",
    "axes3.spines['bottom'].set_position(('data',0))\n",
    "# 为图像添加网格\n",
    "axes3.grid(color='gray',linestyle='--',alpha=0.2)\n",
    "# 为x轴，y轴绘制箭头\n",
    "# 绘制x轴箭头\n",
    "axes3.arrow(-7,0,13.8,0,width=0,shape='full',head_width=0.05,head_length=0.2)\n",
    "# 绘制y轴箭头\n",
    "axes3.arrow(0,-1,0,1.97,width=0,shape='full',head_width=0.25,head_length=0.02)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "a47d34cd-b542-44ef-b485-fbc275f9036e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-21T02:57:15.532124Z",
     "iopub.status.busy": "2022-03-21T02:57:15.531603Z",
     "iopub.status.idle": "2022-03-21T02:57:16.045547Z",
     "shell.execute_reply": "2022-03-21T02:57:16.044498Z",
     "shell.execute_reply.started": "2022-03-21T02:57:15.532076Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## 结合箭头与网格，我们可以很直观第表达线性代数中向量的概念\r\n",
    " \r\n",
    "import numpy as np\r\n",
    "import matplotlib.pyplot as plt\r\n",
    "\r\n",
    "# 我们使用numpy中的数组来表示向量\r\n",
    "v = np.array([2,1])\r\n",
    "\r\n",
    "# 绘制图像，展现向量的空间表达.\r\n",
    " \r\n",
    "fig,axes=plt.subplots()\r\n",
    "axes.set_xlim(0,3)\r\n",
    "axes.set_ylim(0,3)\r\n",
    "axes.grid()\r\n",
    "axes.arrow(0,0,v[0],v[1],head_length=0.1,head_width=0.1,color='blue')\r\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "d4a01e01-53be-4e8e-9e5f-fa230b7398d3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-21T02:57:53.420240Z",
     "iopub.status.busy": "2022-03-21T02:57:53.419006Z",
     "iopub.status.idle": "2022-03-21T02:57:54.034759Z",
     "shell.execute_reply": "2022-03-21T02:57:54.033796Z",
     "shell.execute_reply.started": "2022-03-21T02:57:53.420182Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAD8CAYAAAB6paOMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvIxREBQAAG45JREFUeJzt3W2MXOV99/HvL6bGKk1hg10J2caYehOw0yjAyOFWpCRVg9kQYecWt1pTodiVgwXBqVSqSkS8oDIvmjZqqVDdhm1qQSIV8/BqUYOQy4OQoix4LByDXZldtqlZF5UNS3jj1GDzv1+cC3x2PLt7vHN2zuye30c68pynua4ZfsN/Z67zoIjAzMzq6xNVd8DMzKrlQmBmVnMuBGZmNedCYGZWcy4EZmY150JgZlZzsxcCaS/S20ivTbNeSA8ijSIdRro2t24b0kiatpXWa7MSSNor6W1Nk21lHpQ0KumwctmWtE3SSJqcbVvQinwjeBgYmGH914D+NO0E/gkA6VPAfcAXgI3AfUh9HfTVrGwPM4dsq0225WzbAjZ7IYh4EZicYYstwI+ICCKGgUuQLgNuBPYTMUnEu8B+Zv7QmXVVFMx2ZIaBS5TLdkRMhrNti8AFJTzHSuDN3Px4Wjbd8nNI2gn8BXDJsmXLlm/YsKGEbpm1d/DgwV9GxIoCm5aV7Z0AF1100XVXXXXVnPpsNpvzyPU5yigEHYuIQWAQoNFoRLPZrLhHtphJ+q9uteVsW7d0kusyjho6AazOza9Ky6ZbbrZQONtWC2UUgiHgm+nooeuB94h4C3gG2ITUlwaJN6VlZgvFEPDNdPTQ9cB7kcu2pD4527YIzP7TkPQo8BVgOdI42dESvwFAxA+AnwA3AaPASeBP0rpJpPuBA+mZdhMx08CcWVcpl221ZDtmyHZETKol2+Fs2wKmXrkMtaSbgZvXrVt3+8jISNXdsUVM0sGIaHS7XY8R2HzqJNc9c2ZxRDwVETsvvvjiqrtiZlYrPVMIzMysGi4EZmY150JgZlZzPVMIJN0safC9996ruitmZrXSM4XAg8VmZtXomUJgZmbVcCEwM6s5FwIzs5rrmULgwWIzs2r0TCHwYLGZWTV6phCYmVk1XAjMzGrOhcDMrOZ6phB4sNjMrBo9Uwg8WGxmVo1ihUAaQDqGNIp0T5v1DyAdStPrSL/KrTuTWzdUWs/NOiRpQNIxSaNqk2tJD0g6lKbXlcu1pDO5dc61LWhFblW5BNgD3ACMAweQhog4+vE2EX+W2/47wDW5Z/g1EZ8vqb9mpVCbXEsailyuI5drtcl1ONe2SBT5RrARGCVijIj3gX3Alhm2vxV4tIzOmc2jjcBoRIyFc201V6QQrATezM2Pp2XnktYAa4HnckuXITWRhpG+0X437ZQ0Imni+PHjxXpu1pnCudY0uZbUlDSsaXKd9t2ZtmtOTEyU0W+z0pU9WLwVeJKIM7lla8huqPzHwN8j/W7rThExGBH9EbHi8ssvL7lLZh3bCjwZLbmOXK7VJtfwcbYbEdFYsWJFN/pqdt6KFIITwOrc/Kq0rJ2ttH59jjiR/h0DXmDq76xmVeko15FyHc61LQJFCsEBoB9pLdJSsg/FuUdJSFcBfcDPcsv6kC5Mj5cDXwSOnrOvWfcdAPolrdUMuVabXEvqU8q1nGtbBGY/aijiNNIu4BlgCbCXiCNIu4EmER99eLYC+4iI3N5XAw8hfUhWdL435Wgjs4pExGm15DoijijlOlpyHW1yrVyuw7m2BUxT810dSTcDN69bt+72kZGRqrtji5ikg+n3/a5qNBrRbDa73azVRCe59pnFZmY11zOFwMzMquFCYGZWcy4EZmY11zOFwJehNjOrRs8UAg8Wm5lVo2cKgZmZVcOFwMys5lwIzMxqrmcKgQeLzcyq0TOFwIPFZmbV6JlCYGZm1XAhMDOrORcCM7Oa65lC4MFiM7Nq9Ewh8GCxmVk1ihUCaQDpGNIo0j1t1m9HmkA6lKZv5dZtQxpJ07bSem5WAkkDko5JGlWbbEvaLmlC0qE0fSu3bpukkTQ527ZgzX6rSmkJsAe4ARgHDiANtbnl5GNE7GrZ91PAfUADCOBg2vfdEvpu1hG1ybakoTa3nXwsWrKtNtlO+zrbtuAU+UawERglYoyI94F9wJaCz38jsJ+IyfQ///3AwNy6ala6jcBoRIzFHLMdEZPhbNsCV6QQrATezM2Pp2WtbkE6jPQk0urz2VfSzvT1euL48eMFu27WscLZlnRY0pOaW7abkpoTExNl9dusVGUNFj8FXEHE58j+MnrkfHaOiMGI6I+IFZdffnlJXTIrxVPAFdFZthsR0VixYsW8dNCsU0UKwQlgdW5+VVp2VsQ7RJxKcz8Eriu8r1l1Zs1nRLwTzrYtckUKwQGgH2kt0lJgKzA0ZQvpstzcZuA/0uNngE1IfUh9wKa0zKwXHAD6Ja3VNNnWLNmW1Cdn2xa42Y8aijiNtIss5EuAvUQcQdoNNIkYAv4UaTNwGpgEtqd9J5HuJ/vAAewmYrL0V2E2BxFxWi3ZjogjStmOlG21yXZETKol2+Fs2wKliKi6D0B2ZjFw87p1624fGRmpuju2iEk6GBGNbrfbaDSi2Wx2u1mriU5y7TOLzcxqrmcKgZmZVcOFwMys5lwIzMxqrmcKgS9DbWZWjZ4pBB4sNjOrRs8UAjMzq4YLgZlZzbkQmJnVXM8UAg8Wm5lVo2cKgQeLzcyq0TOFwMzMquFCYGZWcy4EZmY11zOFwIPFZmbVKFYIpAGkY0ijSPe0WX830tF08/pnkdbk1p1BOpSmoXP2TTxYbN0maUDSMUmjapNrSXdLOppuXP+scrmWdEbSoTRNm2uzhWD2O5RJS4A9wA3AOHAAaYiIo7mtXgEaRJxEuhP4G+CP0rpfE/H5crtt1hm1ybWkoWiT64g4qTa5DufaFoki3wg2AqNEjBHxPrAP2DJli4jniTiZ5obJbuRt1ss2AqMRMRbT5Doing/n2mqgSCFYCbyZmx9Py6azA3g6N78MqYk0jPSNdjtI2ilpRNLE8ePHC3TJrGMd51pSU9Kwpsk1fJztpqTmxMREZz02myez/zR0PqTbgAbw5dzSNUScQLoSeA7pVSLeyO8WEYPAIGT3dS21T2Yd0jS5jogTSrmW9Gq05BqcbVsYinwjOAGszs2vSsumkr4K3AtsJuLUx8sjTqR/x4AXgGvm2lmzEhXKtXK5jlyuI+U6nGtbBIoUggNAP9JapKXAVmDqURLSNcBDZEXg7dzyPqQL0+PlwBeBo5hV7wDQL2mtpsm1crmOXK4l9SnlWs61LQKz/zQUcRppF/AMsATYS8QRpN1Ak4gh4PvAbwFPIAEcJ2IzcDXwENKHZEXney1HG5lVIiJOqyXXEXFEKdfRkmulXEcu18rlOpxrW8AU0Rs/W0q6Gbh53bp1t4+MjFTdHVvEJB2MiEa32200GtFsNrvdrNVEJ7numTOLfUKZmVk1eqYQmJlZNVwIzMxqzoXAzKzmeqYQ+OqjZmbV6JlC4MFiM7Nq9EwhMDOzargQmJnVnAuBmVnN9Uwh8GCxmVk1eqYQeLDYzKwaPVMIzMysGi4EZmY150JgZlZzPVMIPFhsZlaNnikEHiw2M6tGsUIgDSAdQxpFuqfN+guRHkvrX0K6Irfuu2n5MaQbS+q3WSkkDUg6JmlUbbIt6UJJj6X1LymXbUnfTcuPydm2BWz2QiAtAfYAXwPWA7cirW/ZagfwLhHrgAeAv077rie7F+wGYAD4x/R8ZpVTm2xrmmxHS7bVJttytm2BKvKNYCMwSsQYEe8D+4AtLdtsAR5Jj58E/oDsJq9bgH1EnCLiP4HR9HxmvWAjMBoRY3Ee2VYu2xFxKpxtW+Bmv3k9rATezM2PA1+YdpvsZvfvAZem5cMt+65sbUDSTuAvgEuAM5IOzdCfi4GZRpRnWl/VvvP93JcDx3uwX73632JD+ve8sp1ueD+XbO9Ms6ckvTZDv+bTcuCXbndRt/2Zue5YpBDMu4gYBAYBJE3MdANmSYMRsXMu66vatwvPPe17thhfcxnv13TrytaS7eZcby7eqararlu7VbYtqTnXfYv8NHQCWJ2bX5WWtd9GuoDsL7J3Cu7b6lezrH+qg/VV7Tvfzz3Te7YYX3NZ79d5ZVudZ9usN0XEzBNcEDAWsDZgacDPAza0bHNXwA/S460Bj6fHG9L2F6b9xwKWzNQe0Jy1T578npXwfpF9Ix4D1gJLgZ/Tkm3gLlK2yQaHH0+PN6TtL0z7j9HD2a6q7bq1u1Bf8+w/DWW/+e8CngGWAHuJOIK0G2gSMQT8C/BjpFFgMn1gSNs9DhwFTgN3EXFmlhYHZ+2TtfJ7dn4G4ePf/KdkOyKOKGU7ctlWS7bTdlOyHb2d7ararlu7VbY953aVKomZmdVUz5xZbGZm1XAhMDOrueoKQSeXraij2d+v7UgTSIfS9K0Ketk7pL1IbzPdcfuSkB5M7+dhpGvLa3rul62Y53bvlnRU0mFJz0paU0a7RdrObXeLpJBUyuGVRdqV9IfpdR+R9K9ltFukbUmXS3pe0ivpPb+phDb3Snp7uvNRlHkw9emwiua6kpF1WBLwRsCVuSOR1rds8+2WI5Eeq+oogMqnYu/X9oB/qLyvvTLBlwKuDXhtmvU3BTwdoIDrA14qo12yQec3gCs5eyTS+pZtvs3UI5E6znbBdn8f+M30+M4y2i3adtruk8CLZCfiNbr0mvuBV4C+NP87XfzvPAjcmR6vB35RQrtfAq5lmlwDNwFPAwKup2Cuq/pG0MllK+qoyPtleREvkh3lM50twI/SJ2EYuATpshJa7uSyFfPabkQ8HxEn0+ww2bkPZSjymgHuJ7tW0/92sd3bgT0R8S5ARLzdxbYD+O30+GLgvzttNArmOjLDwCUqkOuqCkG7U/tbT8+fetmK7JIBl3ajcz2oyPsFcEv6meNJpNVt1ttZRd/T+XjeKZetoJxsn+/r2UH2l2MZZm07/USxOiL+raQ2C7ULfBr4tKSfShqWNNDFtv8SuE3SOPAT4Dsltd1pv87hweLF4yngCiI+B+zn7F+cZlNIug1oAN/vUnufAP4O+PNutNfiArKfh74C3Ar8s6RLutT2rcDDEbGK7CebH6f3oudU1alOLltRR7O/XxHvEHEqzf0QuK47XVuw5usSEZ1ctmK+20XSV4F7gc1xNi+dmq3tTwKfBV6Q9Auy366HShgwLvKax4GhiPggsqvEvk5WGDpVpO0dwOMAEfEzYBnZBenm09xyXcbAyXlPnVy2oo5Tsffrstzj/xswXHm/q57gihkGi7/eMlj8chlt0sFlK7rQ7jVkA5z9Zb7PRdpu2f4FyhksLvKaB4BH0uPlZD+bXNqltp8GtqfHV5ONEaiEtq9g+sHirzN1sLhQrksLw3lP2VEbr6ejYe5Ny3ZH9pcKAcsCnggYDXg54MrK+toL0+zv118FHElF4vmAqyrvc7Xv16MBbwV8EDAesCPgjoA70noF7Env56tRwv+YPprIfgZ4Pf1P9960bDfpvxXZX4ZPkN3D4GVKynaBdv8d+B/gUJqGuvWaW7YtpRAUfM0i+1nqKPAqsLWL/53XAz9NReIQsKmENh8F3gI+IPu2swO4g5Tr9Hr3pD69WvR99iUmzMxqbtYxgk5OYJC0TdJImraV2XGzTjnbZpkig8UPk/3ONp2vkQ2+9JPdiemfACR9CriP7I5PG4H7JPV10lmzkj2Ms202eyGIuZ/AcCOwPyImIzuZYz8zf+jMusrZNsuUcavK6U5gKHxig3L3db3ooouuu+qqq0rolll7Bw8e/GVErCiwqbNtC8Z55PocPXfP4kajEc3mnG+9aTYrSf/VrbacbeuWTnJdxgll053A4Hu62kLnbFstlFEIhoBvpiMsrgfei4i3yG7/t0lSXxpI25SWmS0UzrbVwqw/DUl6lOw6HcvTxZPuA34DICJ+QHYxpZvITo45CfxJWjcp6X7gQHqq3REx08CcWVc522aZWQtBRNw6y/ogO2W+3bq9wN65dc1sfjnbZpmevBKemZl1jwuBmVnNuRCYmdWcC4GZWc25EJiZ1ZwLgZlZzbkQmJnVnAuBmVnNuRCYmdWcC4GZWc25EJiZ1ZwLgZlZzbkQmJnVnAuBmVnNuRCYmdWcC4GZWc0VKgSSBiQdkzQq6Z426x+QdChNr0v6VW7dmdy6oTI7b9YJ59osU+RWlUuAPcANwDhwQNJQRBz9aJuI+LPc9t8Brsk9xa8j4vPlddmsc8612VlFvhFsBEYjYiwi3gf2AVtm2P5W4NEyOmc2j5xrs6RIIVgJvJmbH0/LziFpDbAWeC63eJmkpqRhSd+YZr+daZvmxMREwa6bdWTec532dbat55U9WLwVeDIizuSWrYmIBvDHwN9L+t3WnSJiMCIaEdFYsWJFyV0y69iccg3Oti0MRQrBCWB1bn5VWtbOVlq+PkfEifTvGPACU39nNauKc22WFCkEB4B+SWslLSX7UJxzlISkq4A+4Ge5ZX2SLkyPlwNfBI627mtWAefaLJn1qKGIOC1pF/AMsATYGxFHJO0GmhHx0YdnK7AvIiK3+9XAQ5I+JCs638sflWFWFefa7CxNzXf1Go1GNJvNqrthi5ikg+n3/a5ytm0+dZJrn1lsZlZzLgRmZjXnQmBmVnMuBGZmNedCYGZWcy4EZmY150JgZlZzLgRmZjXnQmBmVnMuBGZmNedCYGZWcy4EZmY150JgZlZzLgRmZjXnQmBmVnOFCoGkAUnHJI1KuqfN+u2SJiQdStO3cuu2SRpJ07YyO2/WKWfbrMAdyiQtAfYANwDjwAFJQ23uyPRYROxq2fdTwH1AAwjgYNr33VJ6b9YBZ9ssU+QbwUZgNCLGIuJ9YB+wpeDz3wjsj4jJ9AHZDwzMratmpXO2zShWCFYCb+bmx9OyVrdIOizpSUmrz2dfSTslNSU1JyYmCnbdrGPOthnlDRY/BVwREZ8j+8vokfPZOSIGI6IREY0VK1aU1CWzUjjbtugVKQQngNW5+VVp2cci4p2IOJVmfwhcV3Rfswo522YUKwQHgH5JayUtBbYCQ/kNJF2Wm90M/Ed6/AywSVKfpD5gU1pm1gucbTMKHDUUEacl7SIL+RJgb0QckbQbaEbEEPCnkjYDp4FJYHvad1LS/WQfOIDdETE5D6/D7Lw522YZRUTVfZii0WhEs9msuhu2iEk6GBGNbrfrbNt86iTXPrPYzKzmXAjMzGrOhcDMrOZcCMzMas6FwMys5lwIzMxqzoXAzKzmXAjMzGrOhcDMrOZcCMzMas6FwMys5lwIzMxqzoXAzKzmXAjMzGrOhcDMrOZcCMzMaq5QIZA0IOmYpFFJ97RZf7eko5IOS3pW0prcujOSDqVpqHVfs6o412aZWW9VKWkJsAe4ARgHDkgaioijuc1eARoRcVLSncDfAH+U1v06Ij5fcr/NOuJcm51V5BvBRmA0IsYi4n1gH7Alv0FEPB8RJ9PsMLCq3G6alc65NkuKFIKVwJu5+fG0bDo7gKdz88skNSUNS/pGux0k7UzbNCcmJgp0yaxj855rcLZtYZj1p6HzIek2oAF8Obd4TUSckHQl8JykVyPijfx+ETEIDEJ2g+8y+2TWqbnmGpxtWxiKfCM4AazOza9Ky6aQ9FXgXmBzRJz6aHlEnEj/jgEvANd00F+zsjjXZkmRQnAA6Je0VtJSYCsw5SgJSdcAD5F9WN7OLe+TdGF6vBz4IpAfjDOrinNtlsz601BEnJa0C3gGWALsjYgjknYDzYgYAr4P/BbwhCSA4xGxGbgaeEjSh2RF53stR2WYVcK5NjtLEb31s2Wj0Yhms1l1N2wRk3QwIhrdbtfZtvnUSa59ZrGZWc25EJiZ1ZwLgZlZzbkQmJnVnAuBmVnNuRCYmdWcC4GZWc25EJiZ1ZwLgZlZzbkQmJnVnAuBmVnNuRCYmdWcC4GZWc25EJiZ1ZwLgZlZzbkQmJnVXKFCIGlA0jFJo5LuabP+QkmPpfUvSboit+67afkxSTeW13WzzjnbZgUKgaQlwB7ga8B64FZJ61s22wG8GxHrgAeAv077rie7F+wGYAD4x/R8ZpVzts0yRb4RbARGI2IsIt4H9gFbWrbZAjySHj8J/IGym7xuAfZFxKmI+E9gND2fWS9wts0ocPN6YCXwZm5+HPjCdNukm4K/B1yalg+37LuytQFJO4GdafaUpNcK9b58y4Ff1qjdKtuu8jV/Jv3rbLvdxdT2Z2bfpL0ihWDeRcQgMAggqVnFjcWrbNuvufttd6stZ7te7VbZdie5LvLT0AlgdW5+VVrWdhtJFwAXA+8U3NesKs62GcUKwQGgX9JaSUvJBsiGWrYZAralx/8PeC4iIi3fmo68WAv0Ay+X03WzjjnbZhT4aSj9LroLeAZYAuyNiCOSdgPNiBgC/gX4saRRYJLsA0Xa7nHgKHAauCsizszS5ODcX07Hqmrbr7mCtp1tt7vI2p5zu8r+uDEzs7rymcVmZjXnQmBmVnOVFYJOTu3vQtt3Szoq6bCkZyWt6Ua7ue1ukRSSSjkErUi7kv4wveYjkv61jHaLtC3pcknPS3olvd83ldTuXklvT3fcvjIPpn4dlnRtGe2m564k21Xlukjbue2c7c7anJ9cR0TXJ7KBuTeAK4GlwM+B9S3bfBv4QXq8FXisi23/PvCb6fGdZbRdpN203SeBF8lOVmp06fX2A68AfWn+d7r4Xg8Cd6bH64FflNT2l4BrgdemWX8T8DQg4HrgpYWc7apy7Wx3N9vzleuqvhF0cmr/vLcdEc9HxMk0O0x2jPi8t5vcT3Y9m/8toc2i7d4O7ImIdwEi4u0uth3Ab6fHFwP/XUbDEfEi2VE+09kC/Cgyw8Alki4roemqsl1Vrgu1nTjbHZqvXFdVCNqd2t96ev6UU/uBj07t70bbeTvIKuy8t5u+xq2OiH8rob3C7QKfBj4t6aeShiUNdLHtvwRukzQO/AT4Tkltz+Z8c1Dm885HtqvKdaG2ne2uZXtOue6JS0z0Kkm3AQ3gy11o6xPA3wHb57utNi4g+wr9FbK/El+U9HsR8asutH0r8HBE/K2k/0N2zP5nI+LDLrRdS93MdWrP2e7xbFf1jaCTU/u70TaSvgrcC2yOiFNdaPeTwGeBFyT9guz3vaESBtWKvN5xYCgiPojsSpqvk314OlWk7R3A4wAR8TNgGdlFu+bbfF0ioqpsV5XrIm07293L9txyXcbAyRwGPC4AxoC1nB1o2dCyzV1MHVB7vIttX0M2ENTfzdfcsv0LlDOgVuT1DgCPpMfLyb5aXtqltp8GtqfHV5P9jqqS3vMrmH5Q7etMHVR7eSFnu6pcO9vdz/Z85Lq0MMzhxdxEVp3fAO5Ny3aT/aUCWfV8guw67y8DV3ax7X8H/gc4lKahbrTbsm0pH5aCr1dkX92PAq8CW7v4Xq8Hfpo+SIeATSW1+yjwFvAB2V+FO4A7gDtyr3lP6terZb3XVWa7qlw7293L9nzl2peYMDOrOZ9ZbGZWcy4EZmY150JgZlZzLgRmZjXnQmBmVnMuBGZmNedCYGZWc/8fS8gSzJe8LNkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.ticker as ticker\r\n",
    "\r\n",
    "# 设置主要刻度major和次要刻度minor\r\n",
    "fig,axs=plt.subplots(2,2)\r\n",
    "axs[0,0].xaxis.set_major_locator(ticker.MultipleLocator(0.5))#设置x轴主刻度单位为0.5\r\n",
    "axs[0,0].xaxis.set_minor_locator(ticker.MultipleLocator(0.05))#设置x轴次刻度单位为0.05\r\n",
    "axs[0,0].yaxis.set_major_locator(ticker.MultipleLocator(0.25))#设置y轴主刻度单位为0.25\r\n",
    "axs[0,0].yaxis.set_minor_locator(ticker.MultipleLocator(0.05))#设置y轴次刻度单位为0.05\r\n",
    "axs[0,0].tick_params(which='major',labelcolor='red')#设置主刻度颜色为红色\r\n",
    "axs[0,0].tick_params(which=\"minor\",labelsize=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "0859eb43-59d0-4a8d-a765-b9e0766606fb",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-21T03:32:22.170178Z",
     "iopub.status.busy": "2022-03-21T03:32:22.169441Z",
     "iopub.status.idle": "2022-03-21T03:32:22.426670Z",
     "shell.execute_reply": "2022-03-21T03:32:22.425930Z",
     "shell.execute_reply.started": "2022-03-21T03:32:22.170142Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(1950,5000,'1979年改革开放')"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 画出中国人均GDP折线图，并标注重大事件时间\r\n",
    "import matplotlib.pyplot as plt\r\n",
    "import pandas as pd\r\n",
    "fig,axes=plt.subplots()\r\n",
    "axes.plot(year,china)\r\n",
    "axes.annotate('1979年改革开放',xy=(1979,1064),xytext=(1950,5000),arrowprops=dict(facecolor='r',shrink=0.05),fontproperties=myfont)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "42973f47-469f-4acd-9c35-adf363c51d31",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-21T03:12:23.613205Z",
     "iopub.status.busy": "2022-03-21T03:12:23.612321Z",
     "iopub.status.idle": "2022-03-21T03:12:24.466409Z",
     "shell.execute_reply": "2022-03-21T03:12:24.465657Z",
     "shell.execute_reply.started": "2022-03-21T03:12:23.613167Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/conda/envs/python35-paddle120-env/lib/python3.7/site-packages/matplotlib/cbook/__init__.py:2064: FutureWarning: Support for multi-dimensional indexing (e.g. `obj[:, None]`) is deprecated and will be removed in a future version.  Convert to a numpy array before indexing instead.\n",
      "  x[:, None]\n",
      "/opt/conda/envs/python35-paddle120-env/lib/python3.7/site-packages/matplotlib/axes/_base.py:248: FutureWarning: Support for multi-dimensional indexing (e.g. `obj[:, None]`) is deprecated and will be removed in a future version.  Convert to a numpy array before indexing instead.\n",
      "  x = x[:, np.newaxis]\n",
      "/opt/conda/envs/python35-paddle120-env/lib/python3.7/site-packages/matplotlib/axes/_base.py:250: FutureWarning: Support for multi-dimensional indexing (e.g. `obj[:, None]`) is deprecated and will be removed in a future version.  Convert to a numpy array before indexing instead.\n",
      "  y = y[:, np.newaxis]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\r\n",
    "from matplotlib.font_manager import FontProperties\r\n",
    "## 中文显示问题\r\n",
    "myfont=FontProperties(fname=r\"微软雅黑.ttf\",size=12)\r\n",
    "#创建figure对象以及对象包含的多个子图\r\n",
    "fig2,axes2=plt.subplots(2,2)\r\n",
    "fig2.set_size_inches(12,12)\r\n",
    " \r\n",
    "fig2.suptitle(\"各国GDP\",fontproperties=myfont)\r\n",
    "ax1=axes2[0,0]\r\n",
    "ax1.set_title(\"中国\",fontproperties=myfont)# 给第一个图副值titile\r\n",
    "#我们单独给第一个图的x轴y轴设置了不同的数值范围\r\n",
    "ax1.set_xlim([1800,2040])\r\n",
    "ax1.set_ylim([0,80000])\r\n",
    "ax1.plot(year,china,color='red',label='GDP' )\r\n",
    "#定义第三个字图\r\n",
    "ax2=axes2[1,0]\r\n",
    "ax2.set_title(\"美国\",fontproperties=myfont)\r\n",
    "ax2.set_xlim([1800,2040])\r\n",
    "ax2.set_ylim([0,80000])\r\n",
    "ax2.plot(year,usa,color='blue')\r\n",
    "ax3=axes2[0,1]\r\n",
    "ax3.set_title(\"日本\",fontproperties=myfont)\r\n",
    "ax3.set_xlim([1800,2040])\r\n",
    "ax3.set_ylim([0,80000])\r\n",
    "ax3.plot(year,japan,color='red')\r\n",
    "ax4=axes2[1,1]\r\n",
    "ax4.set_title(\"俄国\",fontproperties=myfont)\r\n",
    "ax4.set_xlim([1800,2040])\r\n",
    "ax4.set_ylim([0,80000])\r\n",
    "ax4.plot(year,russia,color='blue')\r\n",
    "# 加入图例\r\n",
    "ax1.legend()\r\n",
    "ax2.legend(('the gdp of usa',),loc='right',fontsize=12)\r\n",
    "fig2.subplots_adjust(left=None,hspace=0.5,wspace=0.3)\r\n",
    "#调用现有的风格\r\n",
    "plt.style.use('ggplot')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "1f2ddd89-6174-4b40-9990-2c012e153c16",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-21T03:44:30.962078Z",
     "iopub.status.busy": "2022-03-21T03:44:30.961302Z",
     "iopub.status.idle": "2022-03-21T03:44:32.011025Z",
     "shell.execute_reply": "2022-03-21T03:44:32.010132Z",
     "shell.execute_reply.started": "2022-03-21T03:44:30.962037Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\r\n",
    "from matplotlib.font_manager import FontProperties\r\n",
    "import os\r\n",
    "## 中文显示问题\r\n",
    "myfont=FontProperties(fname=r\"微软雅黑.ttf\",size=12)\r\n",
    "#创建figure对象以及对象包含的多个子图\r\n",
    "fig2,axes2=plt.subplots(2,2)\r\n",
    "fig2.set_size_inches(12,12)\r\n",
    "fig2.suptitle(\"各国GDP\",fontproperties=myfont)\r\n",
    "ax1=axes2[0,0]\r\n",
    "ax1.set_title(\"中国\",fontproperties=myfont)# 给第一个图副值titile\r\n",
    "#我们单独给第一个图的x轴y轴设置了不同的数值范围\r\n",
    "ax1.set_xlim([1800,2040])\r\n",
    "ax1.set_ylim([0,80000])\r\n",
    "ax1.plot(year,china,color='red',label='GDP' )\r\n",
    "#加入箭头指示说明文字\r\n",
    "ax1.annotate('1979年改革开放',xy=(1979,1064),xytext=(1920,10000),arrowprops=dict(facecolor='r',shrink=0.05),fontproperties=myfont)\r\n",
    "#定义第三个字图\r\n",
    "ax2=axes2[1,0]\r\n",
    "ax2.set_title(\"美国\",fontproperties=myfont)\r\n",
    "ax2.set_xlim([1800,2040])\r\n",
    "ax2.set_ylim([0,80000])\r\n",
    "ax2.plot(year,usa,color='blue')\r\n",
    "ax3=axes2[0,1]\r\n",
    "ax3.set_title(\"日本\",fontproperties=myfont)\r\n",
    "ax3.set_xlim([1800,2040])\r\n",
    "ax3.set_ylim([0,80000])\r\n",
    "ax3.plot(year,japan,color='red')\r\n",
    "ax4=axes2[1,1]\r\n",
    "ax4.set_title(\"俄国\",fontproperties=myfont)\r\n",
    "ax4.set_xlim([1800,2040])\r\n",
    "ax4.set_ylim([0,80000])\r\n",
    "ax4.plot(year,russia,color='blue')\r\n",
    "# 加入图例\r\n",
    "ax1.legend()\r\n",
    "ax2.legend(('the gdp of usa',),loc='right',fontsize=12)\r\n",
    "fig2.subplots_adjust(left=None,hspace=0.5,wspace=0.3)\r\n",
    "\r\n",
    "gfile='各国GDP图片.jpeg'\r\n",
    "if os.path.exists(gfile):\r\n",
    "    os.remove(gfile)\r\n",
    "else:\r\n",
    "    fig2.savefig(gfile)\r\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e48c217a-19fc-4283-811c-cc7db9385f06",
   "metadata": {},
   "source": [
    "作业课堂作业：\n",
    "在第二个，第四个子图中绘制日本，俄国的gdp曲线图"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "py35-paddle1.2.0"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
